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96427296 = 2532726833
BaseRepresentation
bin1011011111101…
…01110100100000
320201110000101100
411233311310200
5144141133141
613322434400
72250422100
oct557656440
9221400340
1096427296
114a481289
1228362a00
1316c92594
14cb41200
1586eb0b6
hex5bf5d20

96427296 has 108 divisors (see below), whose sum is σ = 319031622. Its totient is φ = 27546624.

The previous prime is 96427277. The next prime is 96427333. The reversal of 96427296 is 69272469.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 3111696 = 9660^2 + 1764^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10696 + ... + 17528.

Almost surely, 296427296 is an apocalyptic number.

96427296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159515811).

96427296 is an abundant number, since it is smaller than the sum of its proper divisors (222604326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96427296 is a wasteful number, since it uses less digits than its factorization.

96427296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6845 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 96427296 is about 9819.7401187608. The cubic root of 96427296 is about 458.5640413236.

The spelling of 96427296 in words is "ninety-six million, four hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 6833 7056 13666 14112 20499 27332 40998 47831 54664 61497 81996 95662 109328 122994 143493 163992 191324 218656 245988 286986 327984 334817 382648 430479 491976 573972 655968 669634 765296 860958 983952 1004451 1147944 1339268 1530592 1721916 1967904 2008902 2295888 2678536 3013353 3443832 4017804 4591776 5357072 6026706 6887664 8035608 10714144 12053412 13775328 16071216 24106824 32142432 48213648 96427296